Conics: Parabolas: Introduction (page 1 of 4) Sections: Introduction‚ Finding information from the equation‚ Finding the equation from information‚ Word problems & Calculators In algebra‚ dealing with parabolas usually means graphing quadratics or finding the max/min points (that is‚ the vertices) of parabolas for quadratic word problems. In the context of conics‚ however‚ there are some additional considerations. To form a parabola according to ancient Greek definitions‚ you would start
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The Parabola What is a Parabola? A quadratic expression is an expression in which the highest power of is 2. Consider the following: The above equations are all quadratic expressions as the highest power of is 2. When a quadratic function is graphed‚ the resulting curve is called a parabola‚ as demonstrated in figures 1 and 2. Real Life Application A quadratic function and parabola can be used when undertaking a new business venture to determine the optimum sales price of a particular
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Theory of Parabolas By Amergin McDavid A parabola is designed on a basic formula‚ Y=ax^2+bx+c‚ which allows it to achieve a curve not seen in a normal line graphed using a Y=mx+b format. To the left is a graph who’s formula is y=x^2‚ where a=1‚ b=0‚ and c=0. I have isolated the (a) factor to see its effects on the parabola. Below is a graph where I have changed the (a) multiple times. The result is that as the (a) decreases‚ the mouth of the parabola widens due to the fact that (a) is essentially
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A parabola is a two-dimensional‚ mirror-symmetrical curve‚ which is approximately U-shaped when oriented as shown in the diagram‚ but which can be in any orientation in its plane. It fits any of several superficially different mathematical descriptions which can all be proved to define curves of exactly the same shape. One description of a parabola involves a point (the focus) and a line (the directrix). The focus does not lie on the directrix. The locus of points in that plane that are equidistant from
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The Importance of the Parabola What exactly is a parabola? Well it could quite possibly be the most powerful shape that our world has ever known. It is used in many designs since it is so sturdy and powerful. Countless structures and devices use the parabola and it does nothing but enhance whatever it is used in. What makes it so powerful? Just keep reading and find out. Used in bridges‚ doors and buildings‚ the shape of the parabola is used throughout the world of structures. Most of the time
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My parabola is the arc of of which a diver’s body creates when he is in the pike position. It is irrelevant whether he is on the board‚ in the air‚ or on the ground. As long as the person is in the position that it all that matters. This parabola can be created anywhere. As long as you can get into a pike position‚ the location does not really matter. However‚ a diving board helps the diver to jump up higher to create a more distinguished parabola. Diving can be found in most first world countries
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Graphs are often used to deliver a visual and compelling case in many applications and businesses. Graphs are the information delivery vehicle of choice for many numerical data applications. With graphs a lot of information can be condensed into a visually descriptive object. They reduce the amount of time that would have been expended in reading or parsing through a lot of information. On the other hand‚ they can also be easily used to misrepresent or skew interpretation towards a favorable
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his budget will go to his foods with 45% of his total allowance. Next is for lodging with 30% followed by the projects and fare which will have 10%. The least designation for his budget will be for his savings which has 5% only. 2. BAR GRAPH The bar graph shows the yearly tourist count for the provinces of region V. the province of Albay got the highest number of tourist with 450 000. It is followed by the provinces of Camarines Sur and Camarines Norte with 400 000 and 350 000 respectively.
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respondents. As reflected on the table‚ the male has the larger percentage than the female. Out of 97 respondents‚ 57 or 59% are male while 40 or 41% are female. To illustrate visually the sex profile‚ the graph is presented below. 20 Graph 1 [pic] Gender Profile of the Respondents Table 2 Analytical Skills |Respondents | |S |N |Computed t |Tabular t |Decision
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CHAPTER 4 : FUNCTIONS AND THEIR GRAPHS 4.1 Definition of Function A function from one set X to another set Y is a rule that assigns each element in X to one element in Y. 4.1.1 Notation If f denotes a function from X to Y‚ we write 4.1.2 Domain and range X is known as the domain of f and Y the range of f. (Note that domain and range are sets.) 4.1.3 Object and image If and ‚ then x and y are known respectively as the objects and images of f. We can write ‚ ‚ . We can represent
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